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137274101 is a prime number
BaseRepresentation
bin10000010111010…
…10001011110101
3100120022020122222
420023222023311
5240120232401
621342132125
73254545016
oct1013521365
9316266588
10137274101
1170540078
1239b81045
13225946a3
141433500d
15c0b8c1b
hex82ea2f5

137274101 has 2 divisors, whose sum is σ = 137274102. Its totient is φ = 137274100.

The previous prime is 137274079. The next prime is 137274149. The reversal of 137274101 is 101472731.

It is a happy number.

137274101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97911025 + 39363076 = 9895^2 + 6274^2 .

It is a cyclic number.

It is not a de Polignac number, because 137274101 - 210 = 137273077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137274001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68637050 + 68637051.

It is an arithmetic number, because the mean of its divisors is an integer number (68637051).

Almost surely, 2137274101 is an apocalyptic number.

It is an amenable number.

137274101 is a deficient number, since it is larger than the sum of its proper divisors (1).

137274101 is an equidigital number, since it uses as much as digits as its factorization.

137274101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 137274101 is about 11716.4030743228. The cubic root of 137274101 is about 515.8572469817.

The spelling of 137274101 in words is "one hundred thirty-seven million, two hundred seventy-four thousand, one hundred one".